GCD of 316, 149, 978, 854 Calculator

Given Input numbers are 316, 149, 978, 854

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 316, 149, 978, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 149, 978, 854 is 1.

Therefore, GCD of numbers 316, 149, 978, 854 is 1

Given Input Data is 316, 149, 978, 854

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 149 is 149

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 854 is 2 x 7 x 61

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(316, 149) = 47084

GCD(316, 149) = ( 316 x 149 ) / 47084

GCD(316, 149) = 47084 / 47084

GCD(316, 149) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 854

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 854) = 854

GCD(1, 854) = ( 1 x 854 ) / 854

GCD(1, 854) = 854 / 854

GCD(1, 854) = 1

GCD of 316, 149, 978, 854 is 1

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1. What is the GCD of 316, 149, 978, 854?

GCD of 316, 149, 978, 854 is 1

2. Where do I get the detailed procedure to find GCD of 316, 149, 978, 854?

You can find a detailed procedure to find GCD of 316, 149, 978, 854 on our page.

3. How to find GCD of 316, 149, 978, 854 on a calculator?

You can find the GCD of 316, 149, 978, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.